Classification of Frobenius Forms in five variables
Commutative Algebra
2022-05-17 v2 Algebraic Geometry
Abstract
We classify Frobenius forms, a special class of homogeneous polynomials in characteristic , in up to five variables over an algebraically closed field. We also point out some of the similarities with quadratic forms.
Cite
@article{arxiv.2104.05635,
title = {Classification of Frobenius Forms in five variables},
author = {Zhibek Kadyrsizova and Janet Page and Jyoti Singh and Karen E. Smith and Adela Vraciu and Emily E. Witt},
journal= {arXiv preprint arXiv:2104.05635},
year = {2022}
}
Comments
Appears in Springer volume "Women in Commutative Algebra--Proceedings of the 2019 WICA Workshop". Note that in "Lower Bounds on the F-pure Threshold and Extremal Singularities" (with Jennifer Kenkel, arxiv:2009.13679 [v3], to appear in Transactions of the AMS), we completely classify all extremal singularities of fixed degree and embedding dimension up to projective equivalence